Question

How many solutions does y+x=5 5x+5y=25 have?

A) One
B) Infinitely Many
C) None
D) Two

Answer 1

B is the answer.

Explanation:

Given equations y + x = 5 and 5x + 5y = 25.

These equations have infinetely many solutions because they are equivalent.

This can be proven by the multiplicative property of equality and the commutative property of addition.

y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.

Answer 2

The answer is C hope I helped